Botong Wang

activity

20242026

collaborators

4 papers

math.AG2026

Euclidean distance degree defect of singular projective varieties

LaurenÅ£iu G. Maxim, Jose Israel Rodriguez, Botong Wang

The unit Euclidean distance degree and the generic Euclidean distance degree are two well-studied invariants of projective varieties. These quantities measure the algebraic complex…

math.AG2025

Combinatorial flats and Schubert varieties of subspace arrangements

Colin Crowley, Connor Simpson, Botong Wang

The lattice of flats $L_{M}$ of a matroid $M$ is combinatorially well-behaved and, when $M$ is realizable, admits a geometric model in the form of a "Schubert variety of hyp…

math.AG2025

$L^{2}$ -vanishing theorem and a conjecture of KollÃ¡r

Ya Deng, Botong Wang

In 1995, KollÃ¡r conjectured that a smooth complex projective $n$ -fold $X$ with generically large fundamental group has Euler characteristic $I ¨ (X, K_{X}) \geq 0$ . In this paper, we p…

math.AG2024

Deformation Openness of Big Fundamental Groups and Applications

Ya Deng, Chikako Mese, Botong Wang

In 2001, de Oliveira, Katzarkov, and Ramachandran conjectured that the property of smooth projective varieties having big fundamental groups is stable under small deformations. Thi…

Euclidean distance degree defect of singular projective varieties

Combinatorial flats and Schubert varieties of subspace arrangements

L2-vanishing theorem and a conjecture of KollÃ¡r

Deformation Openness of Big Fundamental Groups and Applications

$L^{2}$ -vanishing theorem and a conjecture of KollÃ¡r